4 papers
On Space-Time Fractional Heat Type Non-Homogeneous Time-Fractional Poisson Equation
Ejighikeme McSylvester Omaba
Consider the following space-time fractional heat equation with Riemann-Liouville derivative of non-homogeneous time-fractional Poisson process \begin{eqnarray*} \partial^β_t u(x,t…
On Non-existence of Global Weak-predictable-random-field Solutions to a Class of SHEs
Ejighikeme McSylvester Omaba, Emmanuel Nwaeze, Louis Okechukwu Omenyi
The multiplicative non-linearity term is usually assumed to be globally Lipschitz in most results on SPDEs. This work proves that the solutions fail to exist if the non-linearity t…
Weak Moment of a Class of Stochastic Heat Equation with Martingale-valued Harmonic Function
Ejighikeme Mcsylvester Omaba
A study of a non-linear parabolic SPDEs of the form with as the space-time white noise and a space-tim…
Time continuity of weak-predictable random field solutions
Ejighikeme McSylvester Omaba
The question of global existence or non-existence of solution to a given stochastic partial differential equation under some non-linear conditions always comes to mind. To show tha…